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Diketahui :begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell 4 x plus 2 end cell row cell g left parenthesis x right parenthesis end cell equals cell x minus 5 end cell end table end style

Tentukanlah begin mathsize 14px style open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses x close parentheses end style?space 

K. Prameswari

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

diperoleh begin mathsize 14px style open parentheses f ring operator g close parentheses to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator x plus 18 over denominator 4 end fraction end style 

Pembahasan

Terlebih dahulu akan dicari fungsi begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses end style sebagai berikut

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell f open parentheses g open parentheses x close parentheses close parentheses end cell row blank equals cell f open parentheses x minus 5 close parentheses end cell row blank equals cell 4 open parentheses x minus 5 close parentheses plus 2 end cell row blank equals cell 4 x minus 20 plus 2 end cell row blank equals cell 4 x minus 18 end cell end table end style

Misalkan begin mathsize 14px style y equals open parentheses f ring operator g close parentheses open parentheses x close parentheses end style, maka dapat diperoleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell row y equals cell 4 x minus 18 end cell row cell y plus 18 end cell equals cell 4 x end cell row cell fraction numerator y plus 18 over denominator 4 end fraction end cell equals x row cell fraction numerator y plus 18 over denominator 4 end fraction end cell equals cell open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses y close parentheses space left right arrow space open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator x plus 18 over denominator 4 end fraction end cell end table end style

Jadi, diperoleh begin mathsize 14px style open parentheses f ring operator g close parentheses to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator x plus 18 over denominator 4 end fraction end style 

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